535980120 has 256 divisors, whose sum is σ = 1850688000. Its totient is φ = 123821568.

The previous prime is 535980119. The next prime is 535980127. The reversal of 535980120 is 21089535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535980127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5009107 + ... + 5009213.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^535980120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535980120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

535980120 is an abundant number, since it is smaller than the sum of its proper divisors (1314707880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535980120 is a wasteful number, since it uses less digits than its factorization.

535980120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 535980120 is about 23151.2444589918. The cubic root of 535980120 is about 812.2995772316.

The spelling of 535980120 in words is "five hundred thirty-five million, nine hundred eighty thousand, one hundred twenty".